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Finding the Fourth Proportional to 3,046, 4,203.48 and 1,648.75

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Solution

The fourth proportional to 3,046, 4,203.48 and 1,648.75 is: 2,275.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,046 : 4,203.48 = 1,648.75 : x
  2. Step 2: Convert to fraction form
    3,046/4,203.48 = 1,648.75/x
  3. Step 3: Cross multiply
    3,046x = 4,203.48 × 1,648.75
  4. Step 4: Simplify right side
    3,046x = 6,930,487.65
  5. Step 5: Solve for x
    x = 6,930,487.65/3,046
  6. Step 6: Final answer
    x = 2,275.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.